The study of many body interactions has a long history in science and technology, and relevant results have been obtained under the assumption of regularity of the underlying substrates, where the dynamics eventually develops. When regularity gets lost, general results are scarce and simplifying assumptions, which implement dedicated approximations, need to be put forward. It is for instance customary to reduce the many body exchanges within a pool of simultaneously interacting entities to a vast collection of pairwise contacts, a working ansatz which drastically reduces the intimate complexity of the scrutinised dynamics. Governing dynamical systems are hence cast on top of networks [1]}, [2]} with diverse and variegated topologies: each node contains a replica of the original system,
and the strength of interaction is set by the weight of the associated link.
